Showing 2026Show all
3 papers · 1 filter
math.RA2026
Classification of Novikov-Poisson Algebras and Their Applications
Ziyi Zhang, Zeyu Hao, Yining Sun +1
In this paper, we give a complete classification, up to isomorphism, of 3-dimensional complex Novikov--Poisson algebras. As an application of the classification, we further prove t…
math.RA2026
Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification
Ziyi Zhang, Zeyu Hao, Yining Sun +1
In this paper, we characterize the nilpotency and solvability of Gelfand--Dorfman (GD) algebras. In contrast with Poisson algebras and transposed Poisson algebras, we give examples…
math-ph2026
-Generalized Hessian pre-Lie algebras and -Generalized Yang--Baxter Equations
Yining Sun, Zeyu Hao, Ziyi Zhang +1
Inspired by the problem of constructing (-)pre-Lie algebra structures on the dual space of a pre-Lie algebra, we introduce the \(A\)-generalized Yang--Baxter equation as a gener…